- 學位論文
單點彈性連接之雙層彈性鋼片之獵能系統探討
Study of an elastic point connected double elastic steel sheet vibration energy harvester
摘要
本研究以Fixed-Free 非線性彈性樑為主體結構，並構思將此裝置放置在汽車車體上、機翼後方、直升機主旋翼下方或任何會振動設備後方之彈性鋼片振動獵能系統。本研究以一質量塊夾取兩長48公分之非線性彈性鋼片形成一雙彈性鋼片之獵能系統，其中將一彈性鋼片末端與基座之間置入彈簧相隔開，此目的是為了避免與振動體有過多的接觸造成其損害。此外，吾人並在此二長48公分之非線性彈性鋼片之間加入一彈簧，此彈簧位置與質量塊距離6公分之位置，其目的為藉由彈簧之彈性能帶來更大的發電效益，吾人在彈性鋼片找尋適當的位置，置入壓電片，找尋發電效益最佳之位置。本研究之理論分析，首先，以牛頓第二運動定律為基礎，並參考Bernoulli-Euler Beam理論模型，推導出此非線性彈性樑之運動方程，並與電能理論推導的壓電方程耦合，再利用時間多尺度法(Method of Multiple Scales (MOMS))將運動方程式分成兩個不同的時間尺度，找出系統各模態振動頻率之比值，並探討是否有內共振之現象，以確定後續分析之彈性樑的模態。此外，為了分析發電效益，採取四階Runge-Kutta法分析此耦合系統，並與實驗量測結果比較，證明此理論模式是可以準確預估實驗結果。本論文已建立運動方程式、MOMS、單層彈性鋼片並施加彈簧之Fixed-Point Plot，雙層彈性鋼片並附加壓電片之理論分析以及的實驗結果，而在實驗中，吾人偵測到最佳彈簧之位置，並提供本系統較以往的實驗有更大的發電效益。
並列摘要
This study takes Fixed-Free non-linear elastic beam as the main structure, and conceives that, this device can be placed on the car, behind the aircraft’s wing, under the main rotor of the helicopter, or any elastic steel sheet that vibrate the energy harvester system equipment. In this study, a mass block clamps two 48 centermeter non-linear elastic steel sheets which then forms a pair of energy harvester elastic steel sheet system. In this system, a spring is placed between the end of and the base of an elastic steel sheet to prevent damages caused by too much contact with the vibrator. In addition, I put a spring between the two 48 centermeter non-linear elastic steel plates. The spring is 6 centimeters away from the mass. In this way, the elasticity of the spring can create greater power generation benefits for our system. Furthermore, I find an appropriate location on the elastic steel sheet, and place piezoelectric plates to find the best location for power generation benefits. Regarding the theoretical analysis of this study, first, based on Newton's second law of motion, and referring to the Bernoulli-Euler Beam theoretical model, the equation of motion of this nonlinear elastic beam is derived and coupled with the piezoelectric equation derived from the theory of electrical energy. Then, I use the method of multiple scales (MOMS) to divide the equation of motion into two different time scales, and find out the ratio of the vibration frequencies of each mode of the system, and discuss whether there is an internal resonance phenomenon to determine the subsequent analysis. In addition, in order to analyze the power generation benefits, the fourth-order Runge-Kutta method was used to analyze the coupled system, and compared with the experimental measurement results, which proved that the theoretical model can accurately predict the experimental results. So far, this thesis has established the equation of motion, MOMS, Fixed-Point Plot with single-layer elastic steel sheet and applied spring, theoretical analysis and preliminary experimental results of double-layer elastic steel sheet with additional piezoelectric . In the experiment, I have detected the most ideal location of the spring and provided the system with greater power generation benefits, compared with previous experiments. In addition, with the simple energy storage design.
參考文獻
延伸閱讀
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- 翁銘壎（2019）。雙層彈性鋼片獵能系統之實驗分析〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2506201914113500
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